Wavelets and Renormalization Group in Quantum Field Theory Problems

Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to the functional renormalization group method in the sense that it sums up the fluctuations of larger scales in order to get the effectiv...

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Bibliographic Details
Published in:Physics of atomic nuclei Vol. 81; no. 6; pp. 786 - 791
Main Author: Altaisky, M. V.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.11.2018
Springer
Springer Nature B.V
Subjects:
Atoms
Continuous wavelet transform
Elementary Particles and Fields
Field theory
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum field theory
Quantum theory
Regularization
Variations
Wavelet transforms
ISSN:1063-7788, 1562-692X
Online Access:Get full text
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Summary:Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to the functional renormalization group method in the sense that it sums up the fluctuations of larger scales in order to get the effective action at small observation scale. The standard RG results for ϕ 4 model are reproduced. The fixed points of the scale-dependent theory are studied in the one-loop approximation.
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ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778818060029